Solve for x in the following equation: 1/x+4= 2. Write your answer in reduced fraction form, if applicable

Answer 1

To solve for x, we can start by subtracting 4 from both sides of the equation to isolate 1/x:

1/x = 2 - 4
1/x = -2

To eliminate the fraction, we can multiply both sides of the equation by x:

x * (1/x) = x * (-2)

This simplifies to:

1 = -2x

Now we can divide both sides of the equation by -2 to solve for x:

1 / -2 = -2x / -2
-1/2 = x

Therefore, the solution to the equation 1/x + 4 = 2 is x = -1/2 in reduced fraction form.